Question

problem 15:
find x and y.
(first taught in lesson 24)
after you enter your answer press go.
x =
y =

Explanation:

Step1: Use property of parallel - sided angles

In a parallelogram, adjacent angles are supplementary. So, $(3x + 20)+(x + 50)=180$.
$$(3x + 20)+(x + 50)=180$$
$$3x+20+x + 50=180$$
$$4x+70 = 180$$

Step2: Solve for x

Subtract 70 from both sides: $4x=180 - 70=110$. Then divide by 4: $x=\frac{110}{4}=15$.

Step3: Use property of opposite - sided angles

In a parallelogram, opposite angles are equal. So, $2y-5=x + 50$.
Substitute $x = 15$ into the equation: $2y-5=15 + 50$.
$$2y-5=65$$

Step4: Solve for y

Add 5 to both sides: $2y=65 + 5=70$. Then divide by 2: $y = 30$.

Answer:

$x = 15$, $y = 30$